Inscribed Angles to Identifying and Understanding

MHB
Thread starter Coder74
Start date Oct 1, 2016
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Angles Inscribed

In summary, an inscribed angle is an angle formed by two chords of a circle with a common endpoint on the circumference. It can be identified by its vertex on the circle and intersecting two different arcs. The measure of an inscribed angle is equal to half the measure of its intercepted arc, and it cannot be greater than 180 degrees due to the size of the circle. The measure of an inscribed angle is directly proportional to the size of the circle.

Oct 1, 2016

Coder74

I've been having trouble identifying these inscribed angles for a while. I know the theorem that goes with this topic but I'm unsure how it applies :c.
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Oct 1, 2016

Greg

Gold Member

MHB

Sketch lines out from the centre of the circle to where the points of the inscribed figure meet the circle. Does that help?

Related to Inscribed Angles to Identifying and Understanding

1. What is an inscribed angle?

An inscribed angle is an angle formed by two chords of a circle that have a common endpoint on the circle's circumference. This angle is always formed by the intersection of two arcs on the circle.

2. How do you identify an inscribed angle?

An inscribed angle can be identified by its vertex being on the circle's circumference and its two sides intersecting two different arcs on the circle.

3. What is the relationship between an inscribed angle and its intercepted arc?

The measure of an inscribed angle is equal to half the measure of its intercepted arc. This means that if an inscribed angle intercepts an arc with a measure of 60 degrees, the inscribed angle will also have a measure of 60 degrees.

4. Can an inscribed angle be greater than 180 degrees?

No, an inscribed angle cannot be greater than 180 degrees. Since it is formed by two chords on a circle, its measure is limited by the size of the circle.

5. How is the measure of an inscribed angle affected by the size of the circle?

The measure of an inscribed angle is directly proportional to the size of the circle. This means that as the circle gets larger, the measure of the inscribed angle also increases, and vice versa.